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  2. An Invitation to Discrete Mathematics Thomas Forster November 20, ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/discretelectures.pdf
    20 Nov 2019: The real lessons you will take away from thiscourse is a not a knapsack full of theorems, but a new way of thinking aboutthe materials. ... new spheres each the same size as the original.Do we want subsubsection or.
  3. Topics in Analysis T. W. Körner August 25, 2018 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2018-2019/Topic.pdf
    10 Jan 2019: and then, knowing Albert’s new choice, Berthachanges to q′ and then. ... The question we ask ourselves is whether there is a‘stable choice’ of p and q such that neither party can do better by unilaterallychoosing a new value.
  4. Riemann SurfacesLectures by François BrunaultNotes by Alexis Marchand …

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Riemann-Surfaces.pdf
    12 Apr 2019: Resp(ω) = 0. Remark 4.5.8. Using the Residue Theorem, we can give a new proof of Theorem 3.3.5 by consideringthe differential form ω = df.
  5. Advanced AlgebraLectures by Laurent BergerNotes by Alexis Marchand…

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/M1-Advanced-Algebra.pdf
    6 Jan 2019: Now perform the operation Li Li qL1; we obtain a new matrix P ′ with N (P ′) < N (P).After performing such operations a finite number of times, we will have P11 |
  6. An introduction to the study of non linear waves ...

    https://www.dpmms.cam.ac.uk/study/III/Introductiontononlinearanalysis/2019-2020/cours-camb.pdf
    25 Nov 2019: dkhk. given by Proposition 1.3.1. We have. Ij(f,h) =k,. ckdIj(fk,h). The gain with this new (apparently more complicated) decomposition is that the atoms fkand h

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